"Topology-Based Methods in Visualization II" is a specialized book that focuses on the application of topological methods in visualization. It provides a deep insight into the analysis and presentation of complex datasets through the lens of topology. The authors, Hans-Christian Hege, Konrad Polthier, and Gerik Scheuermann, present the results of a workshop that brought together international researchers to discuss the current state and new trends in topological visualization. The book includes a collection of thirteen peer-reviewed research papers that highlight innovative approaches and applications in this rapidly evolving field. The topics covered range from fundamental topological concepts to specific applications that address users' interests in the topological properties of data. The contributions are the result of intense discussions and offer valuable perspectives for researchers and practitioners in the field of visualization research.